Solve 5(-3x+2)+15=3x+7-2(4x-1)

$$5(-3x+2)+15=3x+7-2(4x-1)$$

Solve for x

$$x = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by -3x+2.

$$-15x+10+15=3x+7-2\left(4x-1\right)$$

Add 10 and 15 to get 25.

$$-15x+25=3x+7-2\left(4x-1\right)$$

Use the distributive property to multiply -2 by 4x-1.

$$-15x+25=3x+7-8x+2$$

Combine 3x and -8x to get -5x.

$$-15x+25=-5x+7+2$$

Add 7 and 2 to get 9.

$$-15x+25=-5x+9$$

Add 5x to both sides.

$$-15x+25+5x=9$$

Combine -15x and 5x to get -10x.

$$-10x+25=9$$

Subtract 25 from both sides.

$$-10x=9-25$$

Subtract 25 from 9 to get -16.

$$-10x=-16$$

Divide both sides by -10.

$$x=\frac{-16}{-10}$$

Reduce the fraction \frac{-16}{-10} to lowest terms by extracting and canceling out -2.

$$x=\frac{8}{5}$$